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Finding the Fourth Proportional to 13,032.97, 17,965.59 and 7,987.84

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Solution

The fourth proportional to 13,032.97, 17,965.59 and 7,987.84 is: 11,011.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.97 : 17,965.59 = 7,987.84 : x
  2. Step 2: Convert to fraction form
    13,032.97/17,965.59 = 7,987.84/x
  3. Step 3: Cross multiply
    13,032.97x = 17,965.59 × 7,987.84
  4. Step 4: Simplify right side
    13,032.97x = 143,506,183.56
  5. Step 5: Solve for x
    x = 143,506,183.56/13,032.97
  6. Step 6: Final answer
    x = 11,011.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.